Hindustan Book Agency 2009; 248 pp; hardcover ISBN10: 8185931895 ISBN13: 9788185931890 List Price: US$44 Member Price: US$35.20 Order Code: HIN/38
 These notes are a record of a onesemester course on Functional Analysis given by the author to secondyear Master of Statistics students at the Indian Statistical Institute, New Delhi. Students taking this course have a strong background in real analysis, linear algebra, measure theory and probability, and the course proceeds rapidly from the definition of a normed linear space to the spectral theorem for bounded selfadjoint operators in a Hilbert space. The book is organized as twentysix lectures, each corresponding to a ninetyminute class session. This may be helpful to teachers planning a course on this topic. Wellprepared students can read it on their own. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership Graduate students and research mathematicians interested in functional analysis. Table of Contents  Banach spaces
 Dimensionality
 New Banach Spaces from old
 The HahnBanach theorem
 The uniform boundedness principle
 The open mapping theorem
 Dual spaces
 Some applications
 The weak topology
 The second dual and the weak* topology
 Hilbert spaces
 Orthonormal bases
 Linear operators
 Adjoint operators
 Some special operators in Hilbert space
 The resolvent and the spectrum
 Subdivision of the spectrum
 Spectra of normal operators
 Square roots and the polar decomposition
 Compact operators
 The spectrum of a compact operator
 Compact operators and invariant subspaces
 Trace ideals
 The spectral theoremI
 The spectral theoremII
 The spectral theoremIII
 Index
